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Free Percentages MCQs with Answers

273 Percentages MCQs from Mathematics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.

Percentages express a quantity as parts per hundred and support calculations involving increases, decreases, discounts, commissions, taxes, and successive changes. Questions require distinguishing percentage change from percentage points and identifying the original value when a final value and its percentage change are given.

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273 questions · page 3 of 14

41. 10 % of the electorate did not cast their votes in an election between two candidates. 10 % of the votes polled were found invalid. The successful candidate got 54 % of the valid votes and won by a majority of 1620 votes. The number of voters enrolled on the voter's list was___________?

  • A. 25000
  • B. 33000
  • C. 35000
  • D. 40000

Explanation: If the electorate is E voters, votes polled are 90% of E and valid votes are 90% of those, so valid votes = 0.90 × 0.90E = 0.81E votes.

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Correct answer: 25000

42. In an election between two candidates 75 % of the voters cast their votes. Out of which 2 % of the voters were declared invalid. A candidate got 9261 votes which were 75 % of the total valid votes. The total number of voters enrolled in that election was:__________?

  • A. 10000
  • B. 16400
  • C. 16800
  • D. 18000Everyday Science Quiz

Explanation: Since 9,261 votes are 75% of the valid votes, valid votes = 9,261 ÷ 0.75 = 12,348 votes.

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Correct answer: 16800

43. In an election between two candidates. One got 55 % of the total valid votes. 20 % of the votes were invalid. If the total number of votes was 7500. The number of valid votes that the other candidate got was_________?

  • A. 2700
  • B. 2900
  • C. 3000
  • D. 3100

Explanation: Invalid votes are 20% of 7,500 votes, so valid votes = 80% × 7,500 = 6,000 votes.

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Correct answer: 2700

44. 8 % of the voters in an election did not cast their votes in the election, there were only two candidates. The winner by obtaining 48 % of the total votes defeated his contestant by 1100 votes. The total number of voters in the election was_________?

  • A. 21000
  • B. 2200
  • C. 23500
  • D. 27500

Explanation: Let the total electorate be E voters. The winner received 48% of E and, because 8% did not vote, the contestant received the remaining 92%…

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Correct answer: 27500

45. A reduction of 20 % in the price of rice enables a person to buy 3.5 kg more rice for Rs. 385. The original price of rice is:________?

  • A. Rs. 20 per kg
  • B. Rs. 22.50 per kg
  • C. Rs. 25 per kg
  • D. Rs. 27.50 per kg

Explanation: If the original price is p rupees per kg, the reduced price is 0.8p rupees per kg.

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Correct answer: Rs. 27.50 per kg

46. The sum of two numbers is 2490. If 6.5 % of one number is equal to 8.5 % of the other then the numbers are:_________?

  • A. 989, 1501
  • B. 1011, 1479
  • C. 1401, 1089
  • D. 1411, 1079

Explanation: Let the numbers be x and y. Since 6.5% of x equals 8.5% of y, 6.5x = 8.5y, so x:y = 8.5:6.5 = 17:13; their total of 2490 gives 30 parts =…

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Correct answer: 1411, 1079

47. Of the 1000 inhabitants of a town 60 % are males of whom 20 % are literate. If of all the inhabitants 25 % are literate. Then what percent of the females of the town are literate?

  • A. 22. 5 %
  • B. 27.5 %
  • C. 32. 5 %
  • D. 37.5 %

Explanation: There are 600 males, and 20% of them are literate, giving 600 × 20/100 = 120 literate males.

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Correct answer: 32. 5 %

48. Fresh grapes contain 80 % water dry grapes contain 10 % water. If the weight of dry grapes is 250 kg. What was its total weight when it was fresh?

  • A. 1000 kg
  • B. 1100 kg
  • C. 1125 kg
  • D. 1225 kg

Explanation: Dry matter remains unchanged during drying. The 250 kg dry grapes contain 90% dry matter, so dry matter = 250 kg × 90/100 = 225 kg; fresh…

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Correct answer: 1125 kg

49. Fresh fruit contains 68 % water and dry fruit contains 20 % water. How much dry fruit can be obtained from 100 kg of fresh fruits?

  • A. 32 kg
  • B. 40 kg
  • C. 52 kg
  • D. 80 kg

Explanation: The 100 kg fresh fruit contains 100 kg × 32% = 32 kg of dry matter because its water content is 68%.

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Correct answer: 40 kg

50. If the numerator of a fraction is increased by 140 % and the denominator is increased by 150 % the resultant fraction is 4/15 what is the original fraction?

  • A. 3/5
  • B. 5/16
  • C. 2/9
  • D. None of these

Explanation: Increasing the numerator by 140% multiplies it by 2.4, while increasing the denominator by 150% multiplies it by 2.5.

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Correct answer: None of these

51. In measuring the sides of a rectangle errors of 5 % and 3 % in excess are made. The error percent in the calculates area is_________?

  • A. 8. 35 %
  • B. 7.15 %
  • C. 8.15 %
  • D. 6. 25%

Explanation: If the original side lengths are L and W, the measured lengths become 1.05L and 1.03W.

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Correct answer: 8.15 %

52. The price of petrol is increased by 25 %. By how much percent a car owner should reduce his consumption of petrol. So that expenditure on petrol would not be increased?

  • A. 25 %
  • B. 30 %
  • C. 50 %
  • D. 20 %Teaching & Classroom Resources

Explanation: Let the original price and consumption be P rupees per unit and Q units, so expenditure is PQ rupees.

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Correct answer: 20 %Teaching & Classroom Resources

53. In a school, 40 % of the students play football and 50 % play cricket. If 18 % of the students play neither football nor cricket, the percentage of students playing both is________?

  • A. 40 %
  • B. 32 %
  • C. 22 %
  • D. 8 %Islamic Studies Quiz

Explanation: If 18% play neither game, then 82% play at least one game. Using the union formula, football plus cricket minus both equals the union, so…

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Correct answer: 8 %Islamic Studies Quiz

54. Out of 100 students, 50 failed in English and 30 in Mathematics. If 12 students fail in both English and Mathematics. Then the number of students who passed in both the subjects is__________?

  • A. 26
  • B. 28
  • C. 30
  • D. 32

Explanation: Students failing at least one subject are 50 + 30 − 12 = 68, because the 12 who failed both were counted twice and must be subtracted…

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Correct answer: 32

55. A period of 4 hrs 30 min is what percent of a day?

  • A. 18 3/4 %
  • B. 20 %
  • C. 16 3/4 %
  • D. 19 %

Explanation: A day has 24 hours, while 4 hours 30 minutes equals 4.5 hours. Therefore, the percentage is 4.5 hours ÷ 24 hours × 100% = 18.75%, or 18…

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Correct answer: 18 3/4 %

56. When a number is first increased by 10 % and then reduced by 10 % the number:__________?

  • A. does not change
  • B. decreased by 1 %
  • C. increased by 1 %
  • D. None of these

Explanation: Take the original number as 100 units. After a 10% increase it becomes 110 units, and reducing this by 10% gives 110 × 0.90 = 99 units…

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Correct answer: decreased by 1 %

57. The length of a rectangle is increased by 10 % and breadth decreased by 10 % Then the area of a new rectangle is:_________?

  • A. neither increased nor decreased
  • B. increased by 1 %
  • C. decreased by 1 %
  • D. decreased by 10 %

Explanation: Let the original area be L × B. The new area is 1.10L × 0.90B = 0.99LB, so it is 1% less than the original area.

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Correct answer: decreased by 1 %

58. A and B are two fixed points 5 cm apart and c is a point on AB such that AC = 3 cm. If the length of AC is increased by 6 % the length of CB is decreased by:_________?

  • A. 6 %
  • B. 7 %
  • C. 8 %
  • D. 9 %

Explanation: Initially, CB = 5 cm − 3 cm = 2 cm. Increasing AC by 6% gives 3 cm × 1.06 = 3.18 cm, so CB becomes 5 cm − 3.18 cm = 1.82 cm; the decrease…

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Correct answer: 9 %

59. A reduction of 20 % in the price of sugar enables a purchaser to obtain 3kg more for Rs. 120. The original price of sugar per kg is:________?

  • A. Rs. 15
  • B. Rs. 12
  • C. Rs. 10
  • D. Rs. 8

Explanation: Let the original price be Rs. p per kg. At this price, Rs. 120 buys 120/p kg; after a 20% reduction, the price is Rs.

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Correct answer: Rs. 10

60. In 50 gm alloy of gold and silver the gold is 80 % by weight. How much gold should be mixed with this alloy so that the weight of gold would become 95 %?

  • A. 200 gm
  • B. 150 gm
  • C. 50 gm
  • D. 10 gm

Explanation: Initially, gold weighs 80% of 50 g, so gold = 0.8 × 50 g = 40 g and silver = 10 g.

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Correct answer: 150 gm
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